Theorems · Definition · category theory

CategoryTheory.Pretriangulated.distinguishedTriangles

{C : Type u} →
  {inst : CategoryTheory.Category.{v, u} C} →
    {inst_1 : CategoryTheory.Limits.HasZeroObject C} →
      {inst_2 : CategoryTheory.HasShift C ℤ} →
        {inst_3 : CategoryTheory.Preadditive C} →
          {inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive} →
            [self : CategoryTheory.Pretriangulated C] → Set (CategoryTheory.Pretriangulated.Triangle C)

a class of triangle which are called distinguished

Defined in

Mathlib.CategoryTheory.Triangulated.Pretriangulated

Cited by

316 results in Mathlib

Foundations

Depth 32 from the axioms, rests on 313 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Pretriangulated